Finding the Fourth Proportional to 2,054.86, 3,083.78 and 805.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.86 : 3,083.78 = 805.64 : x
2. Step 2: Convert to fraction form
   2,054.86/3,083.78 = 805.64/x
3. Step 3: Cross multiply
   2,054.86x = 3,083.78 × 805.64
4. Step 4: Simplify right side
   2,054.86x = 2,484,416.52
5. Step 5: Solve for x
   x = 2,484,416.52/2,054.86
6. Step 6: Final answer
   x = 1,209.04